4. If we use the 1D particle in a box solution for (x) as X(x) then E x is a constant that is independent of x (and y or z). Repeating the same process for Y & Z gives ... 5. X(x) = (2/a) 1/2 sin(n x x/a) : Y(y) = (2/b) 1/2 sin(n y y/b) :...
We obtain a correction of the Schrdinger equation, and we calculate explicitly the solution for the case of the particle in a box. Finally, we find the expression of the quantum velocity.Feoli, AntonioDepartment of Engineering, University of Sannio, Benevento, ItalyBenedetto, Elmo...
This implies that the same solution is also valid for the potential box (infinitely deep well). In the nonrelativistic limit, the well-known energy spectrum of a particle in a box is obtained. We also provide in tabular form the elements of the complete solution space of the problem for ...
The dendrimicelles are stable in solution for months and provide improved resistance for the nanoparticles against degradation. The dendrimicelle strategy provides a flexible platform with a plethora of options for variation in the type of nanoparticles, dendrimers and block copolymers used, and hence ...
The next collision occurs at the smallest solution t c > t 0 of l t0,u0 (t c ) = 0 impact at same wall (6a) l t0,u0 (t c ) = α impact at other wall (6b) at which the velocity is u c = u t0,u0 (t c ). If the particle impacts again the same wall, the new velo...
5). In the presence of ATP, MinD monomers were detected as the predominant species in solution. In contrast, the main species on the membrane was a MinD dimer already at sparse densities corresponding to one particle per frame in the field of view (31.9 µm2). However, it should ...
The particles are excited by a sinusoidally varying magnetic field. A field-free point (FFP) is generated by the superposition of two magnetic fields. The FFP is important for the imaging process, since only the SPIONs in the FFP and its direct neighbourhood areessential for the received ...
In this paper, we investigate where to deploy throwboxes in the throwbox-assisted MDTNs. The mathematical model with the maximum coverage is built at the fixed number of nodes, and uses the particle swarm optimization (PSO) to solve the model to get the optimal coverage solution. The ...
Colloidal particles suspended in liquid crystals can exhibit various effective anisotropic interactions that can be tuned and utilized in self-assembly processes. We simulate a two-dimensional system of hard disks suspended in a solution of dense hard needles as a model system for colloids suspended ...
Using Schru00f6dinger's quantization method, the Hamiltonianof a particle moving in a one-dimensional dissipative medium isquantized in a box of length L and at first order ondissipation strength. Expressions for <q>, and |u03c8|2 areobtained in terms of the dissipation parameter. A treatment...